Cremona's table of elliptic curves

7973 = 7 · 17 · 67

Field	Data	Notes
Atkin-Lehner	7- 17+ 67-	Signs for the Atkin-Lehner involutions
Conductor	7973	Conductor
Count	3	Number of curves in isogeny class
Curves	7973g1 7973g2 7973g3	Curves in isogeny class
deg	3312	Modular degree for the optimal curve
Eigenvalues	0 -2  0 7- -3  5 17+  2	Hecke eigenvalues for primes less than 20
L	2.2399713106208	L(r)(E,1)/r!
r	1	Rank of the group of rational points
Twists	127568q 71757q 55811m	Quadratic twists by: -4 -3 -7

Hecke Eigenvalues for isogeny class 7973g

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
0	-2	0	-	-3	5	+	2	-6	0	-4	2	12	-10	-6	-12	12	8	-	-12	11	17	6	12	-10

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Quadratic twists for isogeny class 7973g

-4	-3	-7
127568q	71757q	55811m

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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